Download 1. Give two examples that support the conjecture, and one

Chapter 1 Review
Name ________________________
Know how to apply the following concepts:
Understand all yellow/highlighted vocabulary words in Chapter 1 of your textbook.
1.1: Know how to describe a pattern in words. Know how to sketch the next figure or find the next number in a
pattern. Understand what a conjecture is, and be able to write a counterexample to prove a conjecture false.
1.2: Know how to use appropriate geometry notation and vocabulary. Be able to sketch and describe the
intersections of points, lines and planes. (Important vocabulary section!)
1.3: Know how and when to apply the Segment Addition Postulate and Distance Formula. Know what the
word congruent means and its symbol. Know the difference between AB and AB .
1.4: Know how to name an angle (when can you use one letter vs. three letters). Know how and when to apply
the Angle Addition Postulate. Know how to classify angles. (Important vocabulary section!)
1.5: Know how and when to use the Midpoint Formula. Understand the definition of a bisector and how to
apply it to segments or angles.
1.6: Understand the definition of vertical angles, linear pairs, supplementary angles, and complementary angles.
Be able to identify each of the four angle relationships from picture and apply the definition to solve equations.
1.7: Know how to find perimeter, circumference and area of squares, rectangles, triangles, and circles.
There are a few practice problems below, but you must review your notes and old homework assignments to be fully
prepared for the test.
1. Give two examples that support the conjecture,
and one counterexample that shows the
conjecture is false. Conjecture: The sum of
two perfect squares is an even number.
6. The distance between points A and B is ______.
y
6
A
2. Name three points in the diagram that are not
collinear. Name three points that are collinear.
Name three points that are coplanar. Name
three points that are not coplanar.
–6
B
6x
–6
3. Write the correct notation for each of the
following.
a)
b)
P
R
Q
Q
R
c)
P
c)
7. Classify each angle as right, acute, obtuse, or
straight. Estimate the number of degrees in
each angle.
a)
b)
d)
d)
P
R
Q
Q
R
P
4. Two distinct planes intersect. Describe their
intersection. Draw a sketch to support your
answer.
8. If m GOH = 22 and m FOG = 24 , then
what is the measure of FOH ?
F
5. R, S, and T are collinear. S is between R and T.
RS = 2w + 1, ST = w – 1, and RT = 18. Use the
Segment Addition Postulate to solve for w. Then
determine the length of RS.
G
H
O
9. The midpoint of QR is M(1, 4). One endpoint is
R(-3, 2). Find the coordinates of the other endpoint.
10. Find the measures of
PMN and
16. Find the area and circumference of the circle.
Leave in terms of .
14
NMR , if
MN bisects PMR . The measure of PMR is
84 . Draw a sketch that shows the given
information.
17. Shiela is building a picture frame. The picture
frame is to be built around a 8.5 by 11 inch picture.
How many inches of wood will she needs to make
the frame. If the wood costs $0.11 per inch, then
what will the wood for the frame cost?
11. Solve for x:
b3x 22g
b4 x 18g
18. Bob is going to plant grass in his yard. His yard is 12
meters by 20 meters. One bag of grass seed covers
32 square meters. How many bags of grass seed
will he need to buy to cover the whole yard?
12. Solve for x:
13. Name an angle complementary to COD .
Name a vertical angle with AOE . Name an
angle supplementary to AOE . Name two angles
that form a linear pair.
B
C
A
D
O
E
14.
1 and 2 are supplementary angles. 1 and 3
are vertical angles m 1 85 . Find m 2 .
15. Find the area:
8.7 cm
6.4 cm
7.5 cm
2.3 cm
Chapter 1 Review Answer Key
1. There are multiple correct answers.
a. Support Conjecture: 4+4=8 and 9+25=34
b. Counterexample: 9+16=25
2. There are multiple correct answers.
a. Not Collinear: ABE, ABC, BDE, BEC
b. Collinear: ABD
c. Not Coplanar: ABE, BDE, CBE, CAE, BCE
d. Coplanar: ABD, ABC, ADC, BDC



3. a) PR 
b) PR 
c) RP
d) RP 
4. Intersect to form a line
5. w = 6 and RS = 13
6.
85
7. a) straight, 180 b) obtuse, 100 c) acute, 80
d) right, 90
8. 46
9. (5, 6)
10. m PMN m NMR 42
11. x = 4
12. x = 3
13. a) complementary to COD is BOC
b) vertical angle with AOE is COD
c) supplementary to AOE is EOD or AOC
d) Linear pair (sample answers):
AOE and EOD
AOE and AOC
AOB and BOD
COD and DOE
14. 95
15. 7.36cm2
16. C = 14
A = 49
17. 50.7 inches of wood, cost $5.58
18. 8 bags